GM (1,1) Model Gray Prediction for the Gold-Medal Result of Women´s Put Shot in the 30th Olympic Games

Through the methods of document and mathematical statistics, this paper takes the gold-medal records of women´s shot put in the Olympic Games from 1992 to 2008 as the raw data and uses GM(1,1) prediction model in Gray System Theory to predict the gold-medal result of women´s shot put in the 2012 London Olympic Games. After the residual test, correlation test and posterior difference test, the model can predict the result accurately which is 20.0761 meters and the curve fitting result is y = 4273.836e^-0.0048k (e^0.0048 -1). It will provide helpful reference for the training of our athletes in the upcoming London Olympic Games to predict the gold-medal result of the women´s shot put in the 30th Olympic Games.